There are many interesting relationships among the various nutrients found in fruits and vegetables. Listed below are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100g each). Water 78.58 75.02 75.98 85.17 80.95 86.22 85.07 Carbs 14.18 21.04 19.81 21.78 23.74 12.13 15.44 The correlation coefficient for the data is =r−0.360 and =α0.05. Should regression analysis be done? Find the equation of the regression line. Round the coefficients to at least three decimal places. =y′+abx =a =b Find y′ when =x79. Round your answer to at least three decimal places. =y′
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
There are many interesting relationships among the various nutrients found in fruits and vegetables. Listed below are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100g each).
| Water |
78.58
|
75.02
|
75.98
|
85.17
|
80.95
|
86.22
|
85.07
|
|---|---|---|---|---|---|---|---|
| Carbs |
14.18
|
21.04
|
19.81
|
21.78
|
23.74
|
12.13
|
15.44
|
|
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